arXiv subjects

T. M. Zajac

Publications and source records attributed to T. M. Zajac.

4 recordsLinked to original sources

arXiv2017

Calculations for electron-impact ionization of magnesium and calcium atoms in the method of interacting configurations in the complex number representation

Next investigations in our program of transition from the He atom to the complex atoms description have been presented. The method of interacting configurations in the complex number representation is under consideration. The spectroscopic characteristics of the Mg and Ca atoms in the problem of the electron-impact ionization of these atoms are investigated. The energies and the widths of the lowest autoionizing states of Mg and Ca atoms are calculated. Few results in the photoionization problem on the autoionizing states above the n=2 threshold of helium-like Be ion are presented.

physics.atom-ph↗

arXiv2016

Calculations for electron-impact ionization of beryllium in the method of interacting configurations in the complex number representation

The beginning of the application of the method of interacting configurations in the complex number representation to the compound atomic systems has been presented. The spectroscopic characteristics of the Be atom in the problem of the electron-impact ionization of this atom are investigated. The energies and the widths of the lowest autoionizing states of Be atom are calculated.

physics.atom-ph↗

arXiv2013

The Schrodinger-Foldy relativistic canonical quantum mechanics and the derivation of the Dirac equation

The detailed consideration of the relativistic canonical quantum-mechanical model of an arbitrary spin-multiplet is given. The group-theoretical analysis of the algebra of experimentally observables physical quantities for the spin 1/2 doublet is presented. It is shown that both the Foldy-Wouthuysen equation for the fermionic spin 1/2 doublet and the Dirac equation in its local representation are the consequences of the relativistic canonical quantum mechanics of the corresponding doublet. The mathematically well-defined consideration on the level of modern axiomatic approaches to the field theory is provided. The hypothesis of the antiparticle negative mass is discussed briefly in the section conclusions.

math-ph↗

arXiv2011

On Bosnic Solutions of the Foldy-Wouthuysen and Dirac Equations for Free Field

The consideration of the Fermi - Bose duality of the Dirac equation with arbitrary mass has been continued. The bosonic solutions of this equation in the Foldy - Wouthuysen representation are found. The Bargman - Wigner analysis of additional solutions and comparison with standard fermionic solutions are carried out. The evident demonstration of additional bosonic features of the Foldy - Wouthuysen and Dirac equation is presented.

math-ph↗